Final Answer
Step-by-step Solution
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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
Learn how to solve differential equations problems step by step online.
$\frac{1}{y^2}dy=-2xdx$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=-2xy^2. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{y^2}dy and replace the result in the differential equation. Solve the integral \int-2xdx and replace the result in the differential equation.